Elijah invested $610 in an account paying an interest rate of 4.1% compounded annually. Assuming no deposits or withdrawals are made, how long would it take, to the nearest year, for the value of the account to reach $900?

Answers

Answer 1

Answer:

9.757

Step-by-step explanation:

To solve us the compound interest formula: [tex]A=P(1+\frac{r}{n} )^n^t[/tex]

Where A=amount earned; P=principle or starting amount; r=rate(remember to convert to decimal; t=time

Plug your numbers in:

[tex]900=610(1+\frac{.041}{1} )^1^t\\[/tex]

Divide by 610

[tex]1.475409836=(1.041)^t[/tex]

Convert to logarithms

㏒(1.475409836)=㏒1.041

Divide

㏒(1.4754-98236)/㏒1.041=x

9.757

Answer 2
It would take Elijah 36 years for the value of his account to reach 900 dollars
So the answer is 36 years

Related Questions

Can someone tell me what type of angle this is?
A: Supplementary angles
B: Vertical angels
C: Corresponding angles
D: Complementary angles

Answers

Answer:

Option a : supplementary angles

Step-by-step explanation:

the y-intercept is the y -value of the point at which the graph of a function crosses the y-axis True or False​

Answers

Answer:

True

Step-by-step explanation:

The y intercept is where the line "crosses through" or "goes through" the y axis.

A diagram from a proof of the
Pythagorean Theorem is shown. Which
statement would NOT be used in the
proof?

Answers

Answer:

The answer is the forth one, you suppose Sabi am

Connor has five nickels in one hand and some dimes in his other hand. He has more than two times as many dimes as nickels. He has fewer than three times as many dimes as nickels.

Answers

Complete question :

How many dimes might he have?

How many coins would he have altogether?

Answer:

11, 12, 13, 14 ;

16, 17, 18, 19

Step-by-step explanation:

Let :

Nickel = n

Dimes = d

Total number of nickels = 5

He has more than 2 times as many dimes as nickels ;

d > 2n

d > 2*5 ; d > 10

He has fewer than 3 times as many dimes as nickels;

d < 3n

d < 3*5 ; d < 15

Meaning he has more than 10 dimes but less than 15.

10 < d < 15

So, d could be ;

11, 12, 13, 14

Number of coins altogether :

11 + 5 = 16

12 + 5 = 17

13 + 5 = 18

14 + 5 = 19

The discriminant of a quadratic equation is the value b^2-4ac what is the value of discriminant of 0=-2x^2+6x+13

Answers

Answer:

-16

Step-by-step explanation:

Given data

We are given the expression

0=-2x^2+6x+13

a=-1

b=6

c=13

The discriminant of a quadratic equation is the value b^2-4ac

Substitute

=6^2-4(-1*13)

=36-4(13)

=36-52

=-16

Hence the discriminant is -16

4 1/3 x 6
2 3/5 x 3 1/3
Can you help me? (✿◡‿◡)

Answers

Answer:

26

8 2/3

Step-by-step explanation:

4 1/3 ×6

13/3×6

13/1×2=26

2 3/5 × 3 1/3

13/5 × 10/3

13/1 × 2/3

26/3=8 2/3

9m + 3m -m = what's the correct answer?

Answers

Answer:

11m

Step-by-step explanation:

Simplify

9m+3m−m

=9m+3m+−m

Combine Like Terms:

=9m+3m+−m

=(9m+3m+−m)

=11m

Answer:

=11m

Answer:

11m

Step-by-step explanation:

9m + 3m - m = ?

just look at it without the variables: m

9 + 3 - 1 = ?

The reason there is a 1 before the m is because there is always atleast a 1 before a variable. 1 x m = m, but 0 x m = 0. so '1'.

ok so now lets solve

9 + 3 - 1

 12 - 1

    11

so the answer is 11, add the variables back

9m + 3m - m

    12m - m

        11m

the hundred digit in 359481 is​

Answers

Answer:

Hundreds = Digit 4

Step-by-step explanation:

Place Value of 359,481

3 - Hundred thousands

5 - Ten thousands

9 - Thousands

4 - Hundreds

8 - Tens

1 - Ones

Hundreds = Digit 4

Foxy =)

The hundred digit is 4!

What is the solution to this equation? 2 x + 10 = 28

Answers

Answer:

x=9

Step-by-step explanation:

X=9 10-10 28-10 2x=18 18/2= 9

Let f(x)=ln(3x)+2.5
What is the average rate of change of f(x) from 2 to 7?

Answers

Answer:

Step-by-step explanation:

Round your answer to the nearest hundredth.  

−3.99

−0.25

0.25

3.99

(5.5-4.25)/(7-2)

 

This is equal to 0.25.  

 

The final answer is 1/4

Mr. Nguyen bought a package of 4 chicken legs and a package of 6 chicken wings. Ms. Dawen bought a package of 3 chicken legs and a package of 6 chicken wings. Mr. Nguyen bought 52 ounces of chicken. Ms. Dawen bought 45 ounces of chicken. How much did each chicken leg and each chicken wing weigh?

Answers

Answer:

weight of legs - 7 ounces

weight of wings - 4 ounces

Step-by-step explanation:

Let the weight of a chicken leg be represented by l

Let the weight of a chicken wing be represented by w

The total weight of Mr. Nguyen's package can be represented by this equation :

4l + 6w = 52

The total weight of Ms. Dawen's package can be represented by this equation :

3l + 6w = 45

To find the weight of the legs and wing, use simultaneous equation

4l + 6w = 52 eqn 1

3l + 6w = 45 eqn 2

Subtract equation 2 from 1

l = 7 ounces

Substitute for l in equation 1

4(7) + 6w = 52

28 + 6w = 52

Solve for w

w = 4 ounces

Find the volume of a pyramid with a square base, where the perimeter of the base is
14.6 m and the height of the pyramid is 22.3 m. Round your answer to the nearest
tenth of a cubic meter.

Answers

Answer

99

Step-by-step explanation:

What is the place value of the 6 in the number 8405.236?

Answers

Answer:

6 thousandths

Step-by-step explanation:

the 2 is tenths the 3 is hundreths and the 6 is thousandths

Answer:

The 6 is in the thousands place.

the number of squirrels in a park at the end of the month

Answers

Using the given recursive function, we have that:

a) There will be 132 squirrels in the park at the end of August.

b) As time goes by, the number of squirrels in the park will increase.

What is the recursive function for this problem?


The recursive function for this problem models the number of squirrels in the park at the end of month n+1, considering the amount present at the end of month n, as follows:

[tex]S_{n+1} = 1.6S_n - 30[/tex]

For this problem, we have that at the amount at the end of May is of 70, hence:

[tex]S_{5} = 70[/tex]

Hence, we find the amounts at the end of June, July and August, as follows:

[tex]S_6 = 1.6(70) - 30 = 82[/tex].[tex]S_7 = 1.6(82) - 30 = 101[/tex].[tex]S_8 = 1.6(101) - 30 = 132[/tex].

Hence:

a) There will be 132 squirrels in the park at the end of August.

b) As time goes by, the number of squirrels in the park will increase.

More can be learned about recursive functions at https://brainly.com/question/489759

#SPJ1

y+2=−3(x−4)
Complete the missing value in the solution to the equation.

Answers

y+2=-3x+12

 -2        -2

y=-3x+10

This is as far as it can be simplified.

---

hope it helps

Answer: y = - 3x + 10

Step-by-step explanation:  

Step 1: Flip the equation : −3x+12=y+2

Step 2: Add -12 to both sides : − 3 x + 12 + − 12 = y + 2 + -12

I need help please!!!

Answers

Answer:

Image is all black, cant help ya!

Step-by-step explanation:

I believe it is 5x-7+ jkjksorry

Solve the equation -3k+6=15

Answers

Answer:

K= -3

Step-by-step explanation:

-3k+6=15

     -6   -6

-3k=9

/-3  /-3

k=-3

subtract 6 from both sides.

divide each side by -3 to get K alone

-3 is your answer.

Yo 10 or 22 points pls help I rlly need help !!!

Answers

3x < -21
x < -7
And then shade to the left 7 places.

will mark brainliest please help

Answers

Answer:

445

Step-by-step explanation:

HELP PLEASE!!!! ONLY ANSWER IF YOU KNOW, WILL GIVE BRAINLIEST!!!!

Answers

Answer:

1.D

2.A

Step-by-step explanation:

Answer:

1.A

2.D

Step-by-step explanation:

Can you please help me

Answers

I think it’s number 2

Which of the following expresses 12 + 42 by using the GCF of the two numbers?

3(9 + 14)
3(4 + 38)
6(2 + 7)
6(6 + 36)

Answers

the correct answer is 6(2+7)

A teacher is ordering scissors for her classroom.
*The teacher pays a one-time fee of $8.
*The teacher also pays $2 for each pair of
scissors ordered

Answers

16 ..............::......

Use the distributive property of multiplication to evaluate 2(3 – 1). Show your work in your answer.

Answers

Answer:

12

Step-by-step explanation:

2(3 - 1)

multiply each number inside the brackets by 2:

2(3 -1)

18 - 6

solve:

18 - 6

= 12

Can Someone help me with this work

Answers

Answer:

Oar City is cheaper

Step-by-step explanation:

27/3=9 (Boat Bunker)

45/9=5 (Oar City)

$4 Cheaper than Boat Bunker

Brainlist?

Answer: Oar City is the answer.

Step-by-step explanation:

Unknown angle problems ( with algebra ) solve for x in the diagram below

Answers

Answer:

5x+35=90

5x. =90-35

5x =55

X=11

The value of x from the given figure is 11°.

What is an angle?

An angle is formed when two straight lines or rays meet at a common endpoint. The common point of contact is called the vertex of an angle.

In the figure, the whole angle is 90°, the ray divide the angle into two angles such as 35° and 5x°.

From the given figure, we have

35°+5x°=90°

5x°=90°-35°

5x°=55°

x°=11°

Therefore, the value of x is 11°.

To learn more about an angle visit:

https://brainly.com/question/9811089.

#SPJ2

Find the slope of the line through the points (-3,1) and (-1,5).

Answers

Answer:

The slope is 2

Step-by-step explanation:

(-3,1)

+2 ——> (-1,5) <—— +4

m = y/x —> 4/2 —> 2

m = 2

Answer:

[tex]\boxed {\boxed {\sf m=2}}[/tex]

Step-by-step explanation:

The formula for slope is:

[tex]m= \frac {y_2-y_1}{x_2-x_1}[/tex]

where (x₁, y₁) and (x₂, y₂) are the points on the line.

We are given the points (-3,1) and (-1,5). Therefore,

[tex]x_1= -3 \\y_1= 1 \\x_2= -1 \\y_2=5[/tex]

Substitute the values into the formula.

[tex]m= \frac {5-1}{-1--3}[/tex]

Solve the numerator.

[tex]m= \frac{4}{-1--3}[/tex]

Solve the denominator.

-1 --3= -1+3 =2

[tex]m=\frac{4}{2} \\[/tex]

Divide.

[tex]m=2[/tex]

The slope of the line is 2.

Which is the BEST system to measure the likelihood of an event occurring? A between 0 and 12 B between 0 and 1 C between 0 and 10
D between 0 and 100

HURRRRYYYYYY 50 POINTS

Answers

Answer:

A BETWEEN 0 AND 12 B BETWEEN 0 AND 1 C BETWEEN 0 AND 10 C BETWEEN 0 AND 100

Step-by-step explanation:

For every 2 cups of sugar in the cookie recipe, there are 5 cups of flour.
What is the ratio of cups of flour to cups of sugar?​

Answers

Answer:

2:5

Step-by-step explanation:

Someone please help me with this question I need the answer plsss

Answers

Answer:

6

Step-by-step explanation:

The slope is: [tex]\frac{y_{2} -y_{1} }{x_{2} -x_{1} }[/tex]. In this case, for the numerator you get 30. For the denominator you get 5. Divide 30/5 to get 6 as your final slope.

Hope it helps!

6 plz brainpower!!! I did the test
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